Question: Problem 6. For the system given in the figure on the right-hand R(s) C(s) side, where the input is four-unit step i.e., r(t) =

Problem 6. For the system given in the figure on the right-hand

Problem 6. For the system given in the figure on the right-hand R(s) C(s) side, where the input is four-unit step i.e., r(t) = 4u(t). (a) Find the value of gain K that yields max. 20% overshoot, K s2 + s+2 (b) Find the peak time for this gain, (c) Find the settling time for this gain, 2 (d) Find the steady-state and peak values of the response for this gain. K (e) Find the value of gain K that yields max. 30% overshoot, () Find the peak time for this gain, (g) Find the settling time for this gain (h) Find the steady-state and peak values of the response for this gain (i) Determine the value of gain K to get the fastest response without oscillation. (j) Find the settling time for this new gain and compare it with the previous two settling times.

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